Measures of Central Tendency and Variability Assessment
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages To Order 5-10 Pages Description/Paper Instructions
Assignment:
Last week, you learned how to summarize a distribution by using frequency distribution tables and various graphs. The shape the frequency distribution forms is important, but frequency tables and graphs are not always the most efficient or meaningful way to summarize large amounts of data. In addition to graphing the shape of the distribution, statistics can be computed to provide even more information about the scores. Measures of central tendency tell us how the scores in the data set “hang together.” What score or scores are “typical” for the data set? Measures of variability help us understand how scores are spread out. How big are the distances between scores? Computing measures of central tendency, such as the mean, median, and mode, and measures of variability, such as the range and standard deviation, is often the first step researchers take after collecting data for a study.
This application will allow you to practice computing and interpreting some common measures of central tendency and measures of variability, both by hand and with the statistical software package SPSS. Download the data set that you will use for this assignment from the Weekly Data Set forum. Be sure to watch this week’s instructional video in the introduction or Learning Resources folder before beginning your Application Assignment.
Scenario: Imagine that your employer is hosting a walking competition. Employees are to report the number of minutes they walk each week. Your employer has asked you to compute descriptive statistics on the data from the first week of the competition to help him know how much people are walking.
You can find the data for this Assignment in the Weekly Data Set forum in the Discussions area of the course navigation menu.
calculations of the following measures of central tendency and measures of variability by hand:
To complete this Assignment, submit calculations of the following measures of central tendency and measures of variability by hand:
Data Set
Number of Minutes Walked 88 100 92 104 81 100 91 75 127 111 12 111 59 94 102 82 77 81 111 111
- Mean
- Median
- Mode
- Range
- Deviation of the highest score from the mean
- Estimated population standard deviation
- ∑X2 (explain your calculations, but you do not need to interpret this result in relation to the scenario)
- (∑X)2 (explain your calculations, but you do not need to interpret this result in relation to the scenario)
For each measure you compute by hand, include an explanation of:
- Your calculations (explain the steps)
- What that measure tells you about the number of minutes walked by employees
For example, each of your answers might look something like this: “The mean of this sample is ______ minutes walked in the first week. The mean is calculated by _________________. The mean tells me that participants in the sample walked ____________ in the first week.”
- Compute the mean and standard deviation in SPSS and report them in your answer document. Note: Your hand-calculated mean and standard deviation may differ somewhat from the calculations in SPSS due to rounding.
- Without redoing any calculations, think critically about how each measure would be affected if the lowest score was eliminated from the data set. Explain if each measure (mean, median, mode, deviation of the highest score from the mean, and standard deviation) would increase, decrease, or stay the same.
- Identify the type of distribution (positive skew, negative skew, or normal distribution) the data create. Explain how you know the type of distribution and what it tells you about the sample.
Write your responses in your own words. It is acceptable to number your answers, but do not copy and paste the questions into your answer document.
Be sure to fully explain the rationale for your answer to each question, including evidence from the text and learning resources.
Provide an APA reference list.
Submit three documents for grading:
- Your text (Word) document with your answers and explanations to the assignment questions, your SPSS Data file, and your SPSS Output file.
- Computation/explanation of the mean
- Computation/explanation of the median
- Computation/explanation of the mode
- Computation/explanation of the range
- Computation/explanation of the deviation of the highest score from the mean
- Computation/explanation of the standard deviation and (∑X)2 and ∑X2
- Computation of the mean in SPSS
- Computation of the standard deviation in SPSS
- How statistics would change without the lowest score in the data set
- Type of distribution
RUBRIC
QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points: Student failed to submit the final paper. 20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points: Student failed to submit the final paper. 5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. Structure of the Paper (worth 10% of total points) Zero points: Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. The can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper. GET THIS PROJECT NOW BY CLICKING ON THIS LINK TO PLACE THE ORDER
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